Atkin-Lehner |
5- 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6815c |
Isogeny class |
Conductor |
6815 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
197635 = 5 · 292 · 47 |
Discriminant |
Eigenvalues |
-1 1 5- 5 5 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-330,-2335] |
[a1,a2,a3,a4,a6] |
j |
3975097468321/197635 |
j-invariant |
L |
2.2402449488365 |
L(r)(E,1)/r! |
Ω |
1.1201224744182 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109040s1 61335e1 34075c1 |
Quadratic twists by: -4 -3 5 |